Are there any features how to work with apps from Microsoft Store?
Yes.
But, that's not really what you're asking.
As you probably saw in LeanFT settings, there are multiple technologies available, most of them disabled.
If I remember correctly, by default the ones enabled are WPF, STD Win, and some other.
What are these technologies?
They are the ones in which the app (the AUT) were written.
You need to know this information if you want to use LeanFT, OIC, etc.
So - the first question you need to ask is: In what technology is my AUT (OneNote in your case) written?
The next question is: Is this technology enabled in settings?
After you enabled it and restarted the engine so that the technology can be taken into account - then you can start using the OIC.
And I suggest only keeping enabled the technologies needed. There's only so much guessing the engine can do. If you have only one tech enabled, the engine knows exactly what you need.